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Department : Uygulamalı Matematik ... ✕Researcher : Peyil Esengul Kızı ✕
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Dr. Peyil Esengul KızıFen Fakültesi
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Variational Formulation Of A Boundary-value Problem Corresponding To Forced Vibration Of An Imperfectly Bonded Bi-layered Plate-strip Resting On A Rigid Foundation

Elman HAZAR | Dağıstan ŞİMŞEK | Asan ÖMÜRALİEV | Burak OĞUL | Ella ABILAYEVA | Peyil Esengul Kızı

In the present study, a boundary-value problem corresponding to forced vibration of an imperfectly bonded bi-layered plate-strip resting on a rigid foundation is considered. In the framework of three-dimensional linearized theory of elastic waves in initially stressed bodies, the mathematical modelling of considered problem is given. Then, the variational formulation of the problem considered is obtained in the framework of the principles of calculus of variation. The problem considered differs from the previous studies in the view of imperfect boundary conditions between the layers of the pla ...More

Article 2015 Fen Fakültesi MANAS Journal of Engineering (MJEN)3 ( 2 ) 123 Views
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A Singularly Perturbed System of Parabolic Equations

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.

Article 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 15 ) 77 Views
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Soft partial metric spaces

İsmet ALTINTAŞ | Peyil Esengul Kızı

This paper is an introduction to soft partial metric spaces. The aim is to create a soft topological model for a programming language described as a soft logic system, like in classical partial metric studies. Since the soft metric spaces have Hausdorff properties, they are not useful in examining non-Hausdorff soft topologies. This paper proposes a generalized soft metric for non-Hausdorff soft topologies and a new approach that guides how to expand soft metric implements like the Banach theorem to such topologies.

Article 2022 Fen Fakültesi Soft Computing28 ( 18 ) 24 Views
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On the Recursive Sequence xn+1 = xn-7/1+xn-3

Dağıstan ŞİMŞEK | Peyil Esengul Kızı | Meerim İmaş Kızı

In this paper the solutions of the following difference equation is examined: x(n+1) = x(n-7)/1 + x(n-3), n = 0, 1, 2, 3, ... where the initial conditions are positive real numbers.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 160 Views
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Asymptotics of Solution to the Nonstationary Schrodinger Equation

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The Cauchy problem with a rapidly oscillating initial condition for the homogeneous Schrodinger equation was studied in [5]. Continuing the research ideas of this work and [3], in this paper we construct the asymptotic solution to the following mixed problem for the nonstationary Schrodinger equation: L(h)u ih partial derivative(t)u + h(2)partial derivative(2)(x)u - b(x,t)u = f(x,t) (x,t) is an element of Omega = (0,1) x (0,t], u vertical bar(t=0) = g(x), u vertical bar(x=0) = u vertical bar(x=1) = 0 where h > 0 is a Planck constant, u = u(x,t,h). b(x,t), f (x,t) is an element of C-infinity ...More

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 89 Views
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Solutions of the Rational Difference Equations

Dağıstan ŞİMŞEK | Peyil Esengul Kızı

In this paper the solutions of the following difference equation is examined

Article 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 2 ) 110 Views
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Параболическая задача со степенным пограничным слоем

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

Строится регуляризованная асимптотика решения первой краевой задачи для сингулярно возмущённого двумерного дифференциального уравнения параболического типа, когда предельное уравнение имеет регулярную особенность. В таких задачах наряду с параболическими пограничными слоями возникают степенной и угловые пограничные слои.

Article 2021 Fen Fakültesi Дифференциальные уравнения57 ( 1 ) 104 Views
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Parabolic Problem with a Power-Law Boundary Layer

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

We construct a regularized asymptotics of the solution of the first boundary value problem for a singularly perturbed two-dimensional differential equation of the parabolic type for the case in which the limit equation has a regular singularity. There arise power-law and corner boundary layers along with parabolic ones in such problems.

Article 2021 Fen Fakültesi Differential Equations57 ( 1 ) 67 Views
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A System of Singularly Perturbed Parabolic Equations with a Power Boundary Layer

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

The work is devoted to the construction of the asymptotics of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains, along with parabolic boundary layer functions, and power boundary layer functions.

Article 2020 Fen Fakültesi Lobachevskii Journal of Mathematics41 ( 1 ) 65 Views
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